Prime p₀= 2167192778536387517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Roadranner
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2167192135669147187	0 72 104 144 152 156 186 212 294 320 350 354 362 402 434 506	-642867240330
SPT(13)	2167192257981268367	0 24 72 84 90 114 132 150 174 180 192 240 264	-520555119150
STPT(10)	2167192335858988511	0 2 6 8 108 110 210 212 216 218	-442677399006
SPT(16)	2167192405337412133	0 66 108 136 160 214 238 286 288 336 360 414 438 466 508 574	-373198975384
SPT(16)	2167192696014491359	0 4 60 82 88 100 118 172 210 264 282 294 300 322 378 382	-82521896158
SPT(16)	2167192722412585001	0 26 36 122 138 140 156 212 246 302 318 320 336 422 432 458	-56123802516
STPT(10)	2167193125539971939	0 2 48 50 90 92 132 134 180 182	347003584422
STPT(10)	2167193202798968159	0 2 12 14 30 32 48 50 60 62	424262580642
STPT(10)	2167193215600885229	0 2 18 20 30 32 42 44 60 62	437064497712
TPT(14)	2167193242336897979	0 2 42 44 72 74 78 80 120 122 180 182 198 200	463800510462
STPT(10)	2167193801757478841	0 2 6 8 48 50 90 92 96 98	1023221091324